<span>M/2=m+1/10
m - m/2 = = -1/10
m/2 = -1/10
m = (- 1/10)(2)
m = - 1/5</span>
In this question, you're solving the inequality for x.
Solve:
-1/3(6x - 15) + 6x > 8x - 11
Distribute the -1/3 to the variables in the parenthesis.
-2x + 5 + 6x > 8x - 11
Combine like terms
4x + 5 > 8x - 11
Subtract 8x from both sides
-4x + 5 > - 11
Subtract 5 from both sides
-4x > -16
Divide both sides by -4, while also flipping the inequality, since you're dividing by a negative.
x < 4
Answer:
x < 4
Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan (
) we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
Answer: Rs. 11,520
Step-by-step explanation:
As the method of compounding is not stated, the default of simple interest will be used.
Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.
Formula is:
Amount owed = Amount borrowed * ( 1 + rate * time)
= 8,000 * ( 1 + 8% * 5.5 years)
= 8,000 * 1.44
= rs 11,520
